Some results on linear operators: norm equivalence and closed range
Filomat, Tome 36 (2022) no. 7, p. 2205
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In this paper we develop some properties about bounded linear operators. We investigate relationships between bounded below and norm equivalent operators. Finally, we study conditions under which those operators become Fredholmn, Weyl and Browder type operators, respectively.
Classification :
47A05, 47A30
Keywords: Bounded below operator, Norm equivalent operator, Closed range operator, Pseudo-inverse operator
Keywords: Bounded below operator, Norm equivalent operator, Closed range operator, Pseudo-inverse operator
Seyed Kamel Hosseini; Jahangir Cheshmavar; Héctor Camilo Chaparro; Sanar Khalil Sarbaz. Some results on linear operators: norm equivalence and closed range. Filomat, Tome 36 (2022) no. 7, p. 2205 . doi: 10.2298/FIL2207205H
@article{10_2298_FIL2207205H,
author = {Seyed Kamel Hosseini and Jahangir Cheshmavar and H\'ector Camilo Chaparro and Sanar Khalil Sarbaz},
title = {Some results on linear operators: norm equivalence and closed range},
journal = {Filomat},
pages = {2205 },
year = {2022},
volume = {36},
number = {7},
doi = {10.2298/FIL2207205H},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2207205H/}
}
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%0 Journal Article %A Seyed Kamel Hosseini %A Jahangir Cheshmavar %A Héctor Camilo Chaparro %A Sanar Khalil Sarbaz %T Some results on linear operators: norm equivalence and closed range %J Filomat %D 2022 %P 2205 %V 36 %N 7 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2207205H/ %R 10.2298/FIL2207205H %G en %F 10_2298_FIL2207205H
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